{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import sys\n",
    "sys.path.append(\"./..\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from bspline import Bspline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TNl4rBB3wDWJTUNvixS+HZZm/cOouS/Mep24K8BXgH178Mg08vYYR2vGPBC7J8r5Q2TId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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109472f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "knot_vector = [0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,5,5,5,5,5]\n",
    "basis = Bspline(knot_vector,4)\n",
    "\n",
    "%matplotlib inline\n",
    "basis.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ta+RqeXqQN0jM5rToZOmYmM1p0c0yOi2b06KbeVHbnDctPaJwZGd5epBvJCWb0+Jm4PwO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\neJA7juMkjge54zhO4vx/UT0X5rKpDQMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10945d4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "knot_vector = [0,1,2,3,4,5]\n",
    "basis = Bspline(knot_vector,1)\n",
    "basis.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10955c350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "basis.dplot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZBGwtsWgKY6fBCOBezD5JYezbgOGhaxDgftR2iuvZlJZgyHtOcKu0kLhbpYoZ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\n8/9UZC3CyyqQDAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109496950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "knot_vector = [0,1,2,3,4,5]\n",
    "basis = Bspline(knot_vector,2)\n",
    "\n",
    "basis.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10990e190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "basis.dplot()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
